Patrick has successfully invested in a growing tech company. Three years ago he invested $10,000 in the company through a broker. Now he has decided to sell his stock. The value of his stock is now at $17,000. Here are the taxes and fees associated with his investment: Annual brokerage fee: $25 State tax: 5% of profit Federal tax: 25% of profit Inflation rate: 1% per year The state tax Patrick must pay on the initial profit is . The federal tax he must pay on the initial profit is ___. The inflation on the amount remaining after taxes is . As a result, the real value of Patrick’s profit is . Please explain!

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience. type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.1 20.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Over the past decade, brands that were once available only to the wealthy have created more affordable product extensions, giving a far broader range of consumers a taste of the good life. jaguar, for instance, launched its x-type sedan, which starts at $30,000 and is meant for the "almost rich" consumer who aspires to live in luxury. by marketing to people who desire a luxurious lifestyle, jaguar is using:

Consider two similar industries, portal crane manufacturing (pcm) and forklift manufacturing (flm). the pcm industry has exactly three incumbents with annual sales of $800 million, $200 million and $100 million, respectively. the flm industry has also exactly three incumbents, with annual sales of $500 million, $450 million and $400 million, respectively. which industry is more likely to experience a higher level of rivalry?